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Finding the Fourth Proportional to 708.43, 977.48 and 413.70

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Solution

The fourth proportional to 708.43, 977.48 and 413.70 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 977.48 = 413.70 : x
  2. Step 2: Convert to fraction form
    708.43/977.48 = 413.70/x
  3. Step 3: Cross multiply
    708.43x = 977.48 × 413.70
  4. Step 4: Simplify right side
    708.43x = 404,383.48
  5. Step 5: Solve for x
    x = 404,383.48/708.43
  6. Step 6: Final answer
    x = 570.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.